Question

How to factorize (a+b)³-3ab(a+b)

Answer 1

Step-by-step explanation:

$( {a} + {b})^3 - 3 {a}^{2} b - 3 {b}^{2} a \\ \\ {a}^{3} + {b}^{3} + 3 {a}^{2} b + 3 {b}^{2} a - 3 {a}^{2} b - 3 {b}^{2} a \\ \\ {a}^{3} + {b}^{3} \\ \\ (a + b)( {a}^{2} + {b}^{2} - ab)$